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A new method to obtain ultimate bounds and convergence rates for perturbed time-delay systems

Authors

  • Quan Quan,

    Corresponding author
    • Department of Automatic Control, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing 100191, China
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  • Kai-Yuan Cai

    1. Department of Automatic Control, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing 100191, China
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  • Quan Quan is also with the State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing 100191, China

Quan Quan, Department of Automatic Control, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing 100191, China.

E-mail: qq_buaa@asee.buaa.edu.cn

SUMMARY

A new method is proposed to determine the ultimate bounds and the convergence rates for perturbed time-delay systems when the Lyapunov–Krasovskii functionals and their derivatives are available. Compared with existing methods, the proposed method is more concise, more widely applicable, and the obtained results are less conservative. To show the three features, the proposed method is applied to improve three existing results, respectively. Copyright © 2011 John Wiley & Sons, Ltd.

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